Search a number
-
+
21026832 = 2431034253
BaseRepresentation
bin101000000110…
…1100000010000
31110120021101120
41100031200100
520340324312
62030402240
7343503501
oct120154020
943507346
1021026832
1110961852
127060380
134482918
142b14ba8
151ca528c
hex140d810

21026832 has 40 divisors (see below), whose sum is σ = 54859584. Its totient is φ = 6939264.

The previous prime is 21026821. The next prime is 21026839. The reversal of 21026832 is 23862012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21026839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2818 + ... + 7070.

Almost surely, 221026832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21026832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27429792).

21026832 is an abundant number, since it is smaller than the sum of its proper divisors (33832752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21026832 is a wasteful number, since it uses less digits than its factorization.

21026832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 21026832 is about 4585.5023716055. The cubic root of 21026832 is about 276.0098715226.

Adding to 21026832 its reverse (23862012), we get a palindrome (44888844).

The spelling of 21026832 in words is "twenty-one million, twenty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1236 1648 2472 4253 4944 8506 12759 17012 25518 34024 51036 68048 102072 204144 438059 876118 1314177 1752236 2628354 3504472 5256708 7008944 10513416 21026832